What is the Greatest Common Factor of 74803 and 74822?

Greatest common factor (GCF) of 74803 and 74822 is 19.

GCF(74803,74822) = 19

We will now calculate the prime factors of 74803 and 74822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74803 and 74822.

How to find the GCF of 74803 and 74822?

We will first find the prime factorization of 74803 and 74822. After we will calculate the factors of 74803 and 74822 and find the biggest common factor number .

Step-1: Prime Factorization of 74803

Prime factors of 74803 are 19, 31, 127. Prime factorization of 74803 in exponential form is:

74803 = 19¹ × 31¹ × 127¹

Step-2: Prime Factorization of 74822

Prime factors of 74822 are 2, 11, 19, 179. Prime factorization of 74822 in exponential form is:

74822 = 2¹ × 11¹ × 19¹ × 179¹

Step-3: Factors of 74803

List of positive integer factors of 74803 that divides 74803 without a remainder.

1, 19, 31, 127, 589, 2413, 3937

Step-4: Factors of 74822

List of positive integer factors of 74822 that divides 74803 without a remainder.

1, 2, 11, 19, 22, 38, 179, 209, 358, 418, 1969, 3401, 3938, 6802, 37411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74803 and 74822. The biggest common factor number is the GCF number.
So the greatest common factor 74803 and 74822 is 19.

Also check out the Least Common Multiple of 74803 and 74822